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Finding the Third Proportional to 14,366 and 30,580

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Solution

The third proportional to 14,366 and 30,580 is: 65,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366 : 30,580 = 30,580 : x
  2. Step 2: Convert to fraction form
    14,366/30,580 = 30,580/x
  3. Step 3: Cross multiply
    14,366x = 30,580 × 30,580
  4. Step 4: Simplify right side
    14,366x = 935,136,400
  5. Step 5: Solve for x
    x = 935,136,400/14,366
  6. Step 6: Final answer
    x = 65,093.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.